Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$
We obtain an exact estimate of the error of optimal renewal of an integral on a set of functions $f(t)$ monotone on $[a, b]$ with a convex majorant of the modulus of continuity, provided that $|f(b) − f(a)| = L > 0$.
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| Datum: | 1997 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5095 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511288253218816 |
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| author | Busarova, T. N. Бусарова, Т. Н. Бусарова, Т. Н. |
| author_facet | Busarova, T. N. Бусарова, Т. Н. Бусарова, Т. Н. |
| author_sort | Busarova, T. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:43Z |
| description | We obtain an exact estimate of the error of optimal renewal of an integral on a set of functions $f(t)$ monotone on $[a, b]$ with a convex majorant of the modulus of continuity, provided that $|f(b) − f(a)| = L > 0$. |
| first_indexed | 2026-03-24T03:10:30Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5095 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:10:30Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e4/ed22555d044d87cdf05c9f51a56ea8e4.pdf |
| spelling | umjimathkievua-article-50952020-03-18T21:24:43Z Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$ Оптимальное восстановление определенного интеграла от монотонных функций класса $H^{ω}$ Busarova, T. N. Бусарова, Т. Н. Бусарова, Т. Н. We obtain an exact estimate of the error of optimal renewal of an integral on a set of functions $f(t)$ monotone on $[a, b]$ with a convex majorant of the modulus of continuity, provided that $|f(b) − f(a)| = L > 0$. Одержано точну оцінку похибки оптимального відновлення інтеграла на множині монотонних на $[a, b]$ функцій $f(t)$ з опуклою мажорантою модуля неперервності при умові $|f(b) − f(a)| = L > 0$. Institute of Mathematics, NAS of Ukraine 1997-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5095 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 8 (1997); 1011–1015 Український математичний журнал; Том 49 № 8 (1997); 1011–1015 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5095/6887 https://umj.imath.kiev.ua/index.php/umj/article/view/5095/6888 Copyright (c) 1997 Busarova T. N. |
| spellingShingle | Busarova, T. N. Бусарова, Т. Н. Бусарова, Т. Н. Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$ |
| title | Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$ |
| title_alt | Оптимальное восстановление определенного интеграла от монотонных функций класса $H^{ω}$ |
| title_full | Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$ |
| title_fullStr | Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$ |
| title_full_unstemmed | Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$ |
| title_short | Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$ |
| title_sort | optimal renewal of definite integrals of monotone functions from the class $h^{ω}$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5095 |
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